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Truncation Error Analysis Of Multipole Expansion

If n is the dimension of the discrete boundary element system, it is reasonable to assume (in 2D) or (in 3D). You must disable the application while logging in or check with your system administrator. An Error Occurred Setting Your User Cookie This site uses cookies to improve performance. Screen reader users, click the load entire article button to bypass dynamically loaded article content. http://u2commerce.com/truncation-error/truncation-error-analysis.html

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DOI: 10.1137/S1064827502412668 Ohnuki S, Chew WC. Your browser asks you whether you want to accept cookies and you declined. To fix this, set the correct time and date on your computer. Related book content No articles found.

Your browser does not support cookies. You have installed an application that monitors or blocks cookies from being set. and PhD degrees from the University of Illinois at Urbana-Champaign in 1988 and 1991, respectively, all in electrical engineering.Bibliographic informationTitleThe Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics ProblemsIEEE http://ieeexplore.ieee.org/iel5/7260/20204/00933781.pdf The FMM has also been applied in accelerating the iterative solver in the method of moments (MOM) as applied to computational electromagnetics problems.

To provide access without cookies would require the site to create a new session for every page you visit, which slows the system down to an unacceptable level. The conventional selection rule fails when the buffer size is small compared to the desired numerical accuracy. The first is caused by the finite precision of computations involving floating-point or integer values. It does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat them as if they are a

  1. C. (2003).
  2. Subscribe Enter Search Term First Name / Given Name Family Name / Last Name / Surname Publication Title Volume Issue Start Page Search Basic Search Author Search Publication Search Advanced Search
  3. For example, consider the real numbers 5.6341432543653654 32.438191288 ¿6.3444444444444 To truncate these numbers to 4 decimal digits, we only consider the 4 digits to the right of the decimal point.
  4. morefromWikipedia Tools and Resources TOC Service: Email RSS Save to Binder Export Formats: BibTeX EndNote ACMRef Share: | Author Tags algorithms error analysis error-correcting codes experimentation fast multipole method multilevel fast
  5. Using the fast multipole method, an approximate solution to these systems can be computed with a low operation count.
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  7. We propose a new approach and show that the truncation error can be controlled and predicted regardless of the number of buffer sizes.AB - The multilevel fast multipole algorithm is based

In: SIAM Journal on Scientific Computing, Vol. 25, No. 4, 2003, p. 1293-1306.Research output: Contribution to journal › Article Ohnuki, S & Chew, WC 2003, 'Truncation error analysis of multipole expansion' The ACM Guide to Computing Literature All Tags Export Formats Save to Binder Skip to main contentProQuestDocument PreviewTruncation Error Analysis of Multipole ExpansionOhnuki, Shinichiro; Chew, Weng Cho. Available from, DOI: 10.1137/S1064827502412668 Ohnuki, Shinichiro; Chew, Weng Cho / Truncation error analysis of multipole expansion. When implementing the method, various infinite sums must be truncated.

Did you know your Organization can subscribe to the ACM Digital Library? http://u2commerce.com/truncation-error/truncation-error-analysis-lattice-boltzmann-methods.html Help Direct export Export file RIS(for EndNote, Reference Manager, ProCite) BibTeX Text RefWorks Direct Export Content Citation Only Citation and Abstract Advanced search JavaScript is disabled We compare this formula with the results of this paper.Here we denote the Bessel function by Jν(x), the Neumann function by Yν(x) and the Hankel function of the first kind by The operation count of the method depends crucially on the length of various expansions.

DOI: 10.1137/S1064827502412668 Truncation error analysis of multipole expansion. / Ohnuki, Shinichiro; Chew, Weng Cho. Please note that Internet Explorer version 8.x will not be supported as of January 1, 2016. Setting Your Browser to Accept Cookies There are many reasons why a cookie could not be set correctly. http://u2commerce.com/truncation-error/truncation-error-in-numerical-analysis.html US & Canada: +1 800 678 4333 Worldwide: +1 732 981 0060 Contact & Support About IEEE Xplore Contact Us Help Terms of Use Nondiscrimination Policy Sitemap Privacy & Opting Out

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Use of this web site signifies your agreement to the terms and conditions. We propose a new approach and show that the truncation error can be controlled and predicted regardless of the number of buffer sizes.KW - Error analysisKW - Fast multipole methodKW - A semi-empirical formula for an appropriate length of expansion was given in [6]. These series are useful because they can often be truncated, meaning that only the first few terms need to be retained for a good approximation to the original function.

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